(Solved): Given the equilibrium constants for the following reactions: \[ \begin{array}{l} 4 \mathrm{Cu}(s)+\ ...

Given the equilibrium constants for the following reactions: \[ \begin{array}{l} 4 \mathrm{Cu}(s)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{Cu}_{2} \mathrm{O}(s), K_{1} \\ 4 \mathrm{CuO}(s) \rightleftharpoons 2 \mathrm{Cu}_{2} \mathrm{O}(s)+\mathrm{O}_{2}(g), K_{2} \end{array} \] what is \( K \) for the system \[ 2 \mathrm{Cu}(s)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{CuO}(s) \] equivalent to? \[ \begin{array}{l} \left(K_{1}\right)\left(K_{2}\right) \\ {\left[\left(K_{2}\right) /\left(K_{1}\right)\right]^{1 / 2}} \\ {\left[\left(K_{1}\right) /\left(K_{2}\right)\right]^{1 / 2}} \\ \left(K_{1}\right)\left(K_{2}\right)^{1 / 2} \\ \left(K_{2}\right)^{1 / 2} /\left(K_{1}\right) \end{array} \]